Pair of Linear Equations in Two Variables: Class 10 Mathematics (CBSE) important questions and practice
Pair of Linear Equations in Two Variables is chapter 3 of 14 in CBSE Class 10 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Graphical representation and nature of solutions
- Conditions for consistent, inconsistent and dependent pairs
- Substitution method
- Elimination method
- Word problems on ages, speed, fractions and two-digit numbers
What examiners usually ask
- Solve graphically: x + y = 5 and 2x - y = 4, and find the area of the triangle formed with the x-axis
- For what value of k does the pair kx + 3y = k - 3, 12x + ky = k have no solution?
- A boat goes 30 km upstream and 44 km downstream in 10 hours; find the speed of the boat and the stream
Exam tip
Memorise the three ratio conditions (a1/a2, b1/b2, c1/c2) for unique, no and infinite solutions, since the 'value of k' question appears nearly every year and is lost by applying the wrong inequality.
Pair of Linear Equations in Two Variables on other boards and exams
Frequently asked questions
What are the important questions from Pair of Linear Equations in Two Variables for CBSE Class 10?
The question types listed above repeat most often in CBSE Class 10 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Pair of Linear Equations in Two Variables in the CBSE Class 10 Mathematics syllabus?
Yes. Pair of Linear Equations in Two Variables is part of the current CBSE Class 10 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Pair of Linear Equations in Two Variables MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.